A spring with spring constant k = 80 N/m has an equilibrium length of 1.00 m. The spring is compressed to a length of 0.5 m and a mass of m = 1.8 kg is placed at its free end on a frictionless slope which makes an angle of θ = 37° with respect to the horizontal. The spring is then released. [Note: you may use the approximations sin 37° = 0.6 and cos 37° = 0.8 for simplicity] a)  If the mass is not attached to the spring, how far up the slope will the mass move before coming to rest? b)  If the mass is attached to the spring, how far up the slope will the mass move before coming to rest? c)  Now the incline has a coefficient of kinetic friction μk. If the block, attached to the spring, is observed to stop just as it reaches the spring’s equilibrium position, what is the coefficient of friction?

Question

A spring with spring constant k = 80 N/m has an equilibrium length of 1.00 m. The spring is compressed to a length of 0.5 m and a mass of m = 1.8 kg is placed at its free end on a frictionless slope which makes an angle of θ = 37° with respect to the horizontal. The spring is then released. [Note: you may use the approximations sin 37° = 0.6 and cos 37° = 0.8 for simplicity]

a)  If the mass is not attached to the spring, how far up the slope will the mass move before coming to rest?

b)  If the mass is attached to the spring, how far up the slope will the mass move before coming to rest?

c)  Now the incline has a coefficient of kinetic friction μk. If the block, attached to the spring, is observed to stop just as it reaches the spring’s equilibrium position, what is the coefficient of friction?

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